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Journal ArticleDOI

Implementation of the RELAX algorithm

Zheng-She Liu, +1 more
- 01 Apr 1998 - 
- Vol. 34, Iss: 2, pp 657-664
TLDR
This correspondence presents a zoom-FFT based RELAX algorithm for estimating sinusoidal parameters in the presence of unknown colored noise and the estimation performance of the new algorithm is only slightly degraded as compared with the original one.
Abstract
This correspondence presents a zoom-FFT based RELAX algorithm for estimating sinusoidal parameters in the presence of unknown colored noise. The amount of computations required by this algorithm is much less than the original zero-padding FFT based RELAX. Yet the estimation performance of the new algorithm is only slightly degraded as compared with the original one.

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Citations
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Journal ArticleDOI

Sparsity and Compressed Sensing in Radar Imaging

TL;DR: The accessible framework provided by compressed sensing illuminates the impact of joining these themes and potential future directions are conjectured both for extension of theory motivated by practice and for modification of practice based on theoretical insights.
Journal ArticleDOI

Accurate Doppler Radar Noncontact Vital Sign Detection Using the RELAX Algorithm

TL;DR: Both simulated and experimental results are provided to validate the superiority of using the RELAX algorithm for accurate noncontact vital sign detection.
Journal ArticleDOI

Linear prediction approach for efficient frequency estimation of multiple real sinusoids: algorithms and analyses

TL;DR: Two constrained weighted least squares frequency estimators for multiple real sinusoids embedded in white noise are proposed, which provide nearly identical frequency estimates and their performance approaches Crame/spl acute/r-Rao lower bound for white Gaussian noise before the threshold effect occurs.
Journal ArticleDOI

ISAR Image Resolution Enhancement: Compressive Sensing Versus State-of-the-Art Super-Resolution Techniques

TL;DR: An exhaustive performance analysis is carried out along with a comparison between CS and conventional super-resolution techniques, which effectively define the performance, which is not simply based on visual inspection.
Proceedings ArticleDOI

One-bit digital radar

TL;DR: A one- bit digital radar involving direct one-bit sampling with unknown dithering of the received radio frequency (RF) signal is introduced, which can be energy-efficient and low-priced.
References
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Journal ArticleDOI

Efficient mixed-spectrum estimation with applications to target feature extraction

TL;DR: A decoupled parameter estimation (DPE) algorithm for estimating sinusoidal parameters from both one-dimensional and two-dimensional data sequences corrupted by AR noise, which provides excellent estimation performance under the model assumptions and is robust to mismodeling errors.
Journal ArticleDOI

Angle and waveform estimation via RELAX

TL;DR: How the RELAX algorithm, recently proposed for temporal spectral analysis, can be extended to the spatial problem of angle and waveform estimation for both narrowband and wideband plane waves arriving at a uniform linear array (ULA).
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